中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：Prof. Fabrice Bethuel (Sorbonne Université)
题 目：Asymptotics for two-dimensional elliptic Allen-Cahn systems
时 间：2023.10.24（星期二）16:10-17:10
地 点：数学院南楼N205
摘 要：The formation of codimension-one interfaces for multi-well gradient-driven problems is well-known and established in the scalar case, where the equation is often referred to as the Allen-Cahn equation. The vectorial case in contrast is quite open. This lack of results and insight is to a large extent related to the absence of known monotonicity formula. After a presentation of the theory in the scalar case, I will focus on the elliptic case in two dimensions, and presents some results which extend to the vectorial case in two dimensions most of the results obtained for the scalar case. I will also emphasize some specific features of the vectorial case.
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